Multiplicity of

periodic solutions for Duffing equations

under nonuniform non-resonance conditions

Author:
Chengwen Wang

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1725-1732

MSC (1991):
Primary 34C25, 34B15

DOI:
https://doi.org/10.1090/S0002-9939-98-04520-1

MathSciNet review:
1458269

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper is devoted to the study of multiple -periodic solutions for Duffing equations

under the condition of nonuniform non-resonance related to the positive asymptotic behavior of at the first two eigenvalues and of the periodic BVP on for the linear operator , and the condition on the negative asymptotic behavior of at infinity. The techniques we use are degree theory and the upper and lower solution method.

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Additional Information

**Chengwen Wang**

Affiliation:
Department of Mathematics and Computer Science Rutgers University, Newark, New Jersey 07102

Email:
chengwen@andromeda.rutgers.edu

DOI:
https://doi.org/10.1090/S0002-9939-98-04520-1

Received by editor(s):
November 20, 1996

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 1998
American Mathematical Society